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Finding the Fourth Proportional to 10,165.30, 15,237.01 and 6,644.23

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Solution

The fourth proportional to 10,165.30, 15,237.01 and 6,644.23 is: 9,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.30 : 15,237.01 = 6,644.23 : x
  2. Step 2: Convert to fraction form
    10,165.30/15,237.01 = 6,644.23/x
  3. Step 3: Cross multiply
    10,165.30x = 15,237.01 × 6,644.23
  4. Step 4: Simplify right side
    10,165.30x = 101,238,169.17
  5. Step 5: Solve for x
    x = 101,238,169.17/10,165.30
  6. Step 6: Final answer
    x = 9,959.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.